Finding the Third Proportional to 36,906 and 56,786

Step by Step Solution

1. Step 1: Write the proportion equation
   36,906 : 56,786 = 56,786 : x
2. Step 2: Convert to fraction form
   36,906/56,786 = 56,786/x
3. Step 3: Cross multiply
   36,906x = 56,786 × 56,786
4. Step 4: Simplify right side
   36,906x = 3,224,649,796
5. Step 5: Solve for x
   x = 3,224,649,796/36,906
6. Step 6: Final answer
   x = 87,374.68